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Finding the Fourth Proportional to 1,362.99, 1,878.21 and 969.33

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Solution

The fourth proportional to 1,362.99, 1,878.21 and 969.33 is: 1,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.99 : 1,878.21 = 969.33 : x
  2. Step 2: Convert to fraction form
    1,362.99/1,878.21 = 969.33/x
  3. Step 3: Cross multiply
    1,362.99x = 1,878.21 × 969.33
  4. Step 4: Simplify right side
    1,362.99x = 1,820,605.30
  5. Step 5: Solve for x
    x = 1,820,605.30/1,362.99
  6. Step 6: Final answer
    x = 1,335.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.